A memory mapping system for compactly mapping dissimilar memory systems and methods for manufacturing and using same. The mapping system maps a source memory system into a destination memory system by partitioning the source memory system and disposing memory contents within the partitioned source memory system into the destination memory system. In one embodiment, the mapping system factorizes a source data width of the source memory system in terms of a destination data width of the destination memory system to form at least one data sub-width. A source memory sub-region is defined for each data sub-width. The memory contents associated with each source memory sub-region are disposed within the destination memory system in a side-by-side manner across selected destination memory registers of the destination memory system. The mapping system thereby can compactly map the memory contents into the destination memory system without a loss of valuable memory space.